Home / 2,082.98-3,125.70-1,109.09

Finding the Fourth Proportional to 2,082.98, 3,125.70 and 1,109.09

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Solution

The fourth proportional to 2,082.98, 3,125.70 and 1,109.09 is: 1,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.98 : 3,125.70 = 1,109.09 : x
  2. Step 2: Convert to fraction form
    2,082.98/3,125.70 = 1,109.09/x
  3. Step 3: Cross multiply
    2,082.98x = 3,125.70 × 1,109.09
  4. Step 4: Simplify right side
    2,082.98x = 3,466,666.98
  5. Step 5: Solve for x
    x = 3,466,666.98/2,082.98
  6. Step 6: Final answer
    x = 1,664.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.